نتایج جستجو برای: schur theorem

تعداد نتایج: 148087  

Journal: :bulletin of the iranian mathematical society 0
h. arabyani mashhad branch, islamic azad university, mashhad, iran. f. saeedi mashhad branch, islamic azad university, mashhad, iran.

some lie algebra analogues of schur's theorem and its converses are presented. as a result, it is shown that for a capable lie algebra l we always have dim l=z(l)  2(dim(l2))2. we also give give some examples sup- porting our results.

2017
Younseok Choo

This paper concerns the Schur stability of polynomials. Firstly necessary conditions are presented for the Schur stability of complex polynomials with fixed coefficients based on the discrete Hermite-Biehler theorem. Then the result is applied to obtain necessary conditions for the robust Schur stability of real interval polynomials.

2009
MICHAEL T. JURY

We prove a version of Valiron’s conjugacy theorem for Schur class mappings of the unit ball of C . As an application we obtain a formula for the spectral radius of composition operators on the ball with Schur class symbols.

2001
MARIUS BULIGA

This paper explores some connections between rank one convexity, multiplicative quasiconvexity and Schur convexity. Theorem 5.1 gives simple necessary and sufficient conditions for an isotropic objective function to be rank one convex on the set of matrices with positive determinant. Theorem 6.2 describes a class of non-polyconvex but multiplicative quasiconvex isotropic functions. Relevance of...

Journal: :Journal of the Korean Mathematical Society 2008

Journal: :Journal of Differential Geometry 1970

Journal: :Electr. J. Comb. 2015
Vineet Gupta Uma Roy Roger Van Peski

A theorem due to Tokuyama expresses Schur polynomials in terms of GelfandTsetlin patterns, providing a deformation of the Weyl character formula and two other classical results, Stanley’s formula for the Schur q-polynomials and Gelfand’s parametrization for the Schur polynomials. We generalize Tokuyama’s formula to the Hall-Littlewood polynomials by extending Tokuyama’s statistics. Our result, ...

2016
JAMES STEVENS

Introduction 1 1. Representation Theory of Finite Groups 2 1.1. Preliminaries 2 1.2. Group Algebra 4 1.3. Character Theory 5 2. Irreducible Representations of the Symmetric Group 8 2.1. Specht Modules 8 2.2. Dimension Formulas 11 2.3. The RSK-Correspondence 12 3. Schur-Weyl Duality 13 3.1. Representations of Lie Groups and Lie Algebras 13 3.2. Schur-Weyl Duality for GL(V ) 15 3.3. Schur Functor...

2006
Eric M. Rains ERIC M. RAINS

We give simple linear algebraic proofs of Eynard-Mehta theorem, Okoun-kov-Reshetikhin formula for the correlation kernel of the Schur process, and Pfaffian analogs of these results. We also discuss certain general properties of the spaces of all determinantal and Pfaffian processes on a given finite set.

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